1109440890000 has 225 divisors, whose sum is σ = 3880980422319. Its totient is φ = 295766640000.

The previous prime is 1109440889971. The next prime is 1109440890007. The reversal of 1109440890000 is 980449011.

The square root of 1109440890000 is 1053300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 86980165776 + 1022460724224 = 294924^2 + 1011168^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1109440890007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 315988245 + ... + 315991755.

Almost surely, 2^{1109440890000} is an apocalyptic number.

1109440890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1109440890000 is the 1053300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109440890000

1109440890000 is an abundant number, since it is smaller than the sum of its proper divisors (2771539532319).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1109440890000 is an frugal number, since it uses more digits than its factorization.

1109440890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 1109440890000 by its sum of digits (36), we get a square (39939872040000 = 6319800²).

1109440890000 divided by its sum of digits (36) gives a square (30817802500 = 175550²).

The spelling of 1109440890000 in words is "one trillion, one hundred nine billion, four hundred forty million, eight hundred ninety thousand".